470-2201/01 – Linear Algebra (LA1)

Gurantor departmentDepartment of Applied MathematicsCredits4
Subject guarantorprof. RNDr. René Kalus, Ph.D.Subject version guarantorprof. RNDr. René Kalus, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year1Semestersummer
Study languageCzech
Year of introduction2010/2011Year of cancellation
Intended for the facultiesFS, FEI, USPIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
ARZ0009 Ing. Vladimír Arzt
BER95 doc. Ing. Petr Beremlijski, Ph.D.
NAG0013 Ing. Judita Buchlovská Nagyová
HOR33 doc. Ing. David Horák, Ph.D.
JAH02 RNDr. Pavel Jahoda, Ph.D.
KAL0063 prof. RNDr. René Kalus, Ph.D.
KUB59 RNDr. Michael Kubesa, Ph.D.
LUK76 doc. Ing. Dalibor Lukáš, Ph.D.
VLA04 Ing. Oldřich Vlach, Ph.D.
S1A64 RNDr. Petra Vondráková, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2
Part-time Credit and Examination 8+8

Subject aims expressed by acquired skills and competences

Many engineering problems lead to solution of large-scale systems of linear equations. The aim of this course is to introduce fundamental notions of linear algebra and relate them to applications in electrical engineering. First we shall learn how to solve real and complex systems of linear equations by Gauss elimination method. The systems arises in the analysis of electrical circuits. In an intuitive manner we shall introduce notions such as base of a vector space, linear transformation and using them we will formulate basic linear problems. In the second part of the course, we shall focus on quadratic forms, which are closely related e.g. to electrical potential energy. Further we shall study orthogonality of functions, on which e.g. Fourier analysis of signals rely. Finally, we shall introduce spectral theory with applications to analysis of resonances.

Teaching methods

Lectures
Tutorials

Summary

Linear algebra is a basic tool of formulation and effective solution of technical problems. The students will get knowledge of basic concepts and computational skills of linear algebra.

Compulsory literature:

G. Strang, Video lectures of Linear Algebra on MIT. R.A. Horn, C.R. Johnson, Matrix Analysis. Cambridge University Press 1990. Y. Saad. Iterative Methods for Sparse Linear Systems. SIAM 2003.

Recommended literature:

G.H. Golub, C.F. Van Loan, Matrix Computations. The Johns Hopkins University Press 2013. L.N. Trefethen, D. Bau. Numerical Linear Algebra. SIAM 1997. J. Liesen, Z. Strakoš, Krylov Subspace Methods: Principles and Analysis. Oxford University Press 2012.

Way of continuous check of knowledge in the course of semester

Verification of study: Two tests. Conditions for credit: Minimum 10 points of continuous assessment. Written exam.

E-learning

Other requirements

No additional requirements are imposed on the student.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Lectures: Complex numbers Solution of systems of linear equations by elimation based methods Algebra of arithmetic vectors and matrices Inverse matrix Vector space Spaces of functions Derivation and integration of piece-wise linear functions Linear mapping Bilinear and quadratic forms Determinants Eigenvalues and eigenvectors An introduction to analytic geometry Exercises: Arihmetics of complex numbers Solution of systems of linear equations Practicing algebra of arithmetic vectors and matrices Evaluation of inverse matrix Examples of vector spaces and deduction from axioms Evaluation of coordinates of a vector in a given basis Examples of functional spaces Examples of linear mappings and evaluation of their matrices Mtrices of bilinear and quadratic forms Evaluation of determinants Evaluation of eigenvalues and eigenvectors Computational examples from analytic geometry

Conditions for subject completion

Conditions for completion are defined only for particular subject version and form of study

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2024/2025 (B0714A060018) Biomedical Assistive Technology K Czech Ostrava 1 Compulsory study plan
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2024/2025 (B0714A060012) Applied Electronics P Czech Ostrava 1 Compulsory study plan
2024/2025 (B0714A270002) Mechatronics K Czech Ostrava 1 Compulsory study plan
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2024/2025 (B0714A060023) Communication and Information Technology P Czech Ostrava 1 Compulsory study plan
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2024/2025 (B0714A150001) Control and Information Systems P Czech Ostrava 1 Compulsory study plan
2024/2025 (B0714A150001) Control and Information Systems K Czech Ostrava 1 Compulsory study plan
2024/2025 (B0714A150003) Computer Systems for the Industry of the 21st. Century P Czech Ostrava 1 Compulsory study plan
2024/2025 (B0713A060005) Electrical Power Engineering P Czech Ostrava 1 Compulsory study plan
2024/2025 (B0713A060005) Electrical Power Engineering K Czech Ostrava 1 Compulsory study plan
2024/2025 (B0713A060004) Design of Electrical Systems and Technologies K Czech Ostrava 1 Compulsory study plan
2024/2025 (B0713A060004) Design of Electrical Systems and Technologies P Czech Ostrava 1 Compulsory study plan
2024/2025 (B0714A060023) Communication and Information Technology K Czech Ostrava 1 Compulsory study plan
2023/2024 (B0713A060005) Electrical Power Engineering P Czech Ostrava 1 Compulsory study plan
2023/2024 (B0713A060005) Electrical Power Engineering K Czech Ostrava 1 Compulsory study plan
2023/2024 (B0713A060004) Design of Electrical Systems and Technologies P Czech Ostrava 1 Compulsory study plan
2023/2024 (B0713A060004) Design of Electrical Systems and Technologies K Czech Ostrava 1 Compulsory study plan
2023/2024 (B0533A110023) Applied Physics P Czech Ostrava 1 Compulsory study plan
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2023/2024 (B0714A060016) Biomedical Technology K Czech Ostrava 1 Compulsory study plan
2023/2024 (B0714A060018) Biomedical Assistive Technology P Czech Ostrava 1 Compulsory study plan
2023/2024 (B0714A060018) Biomedical Assistive Technology K Czech Ostrava 1 Compulsory study plan
2023/2024 (B0714A150001) Control and Information Systems K Czech Ostrava 1 Compulsory study plan
2023/2024 (B0714A150001) Control and Information Systems P Czech Ostrava 1 Compulsory study plan
2023/2024 (B0714A150003) Computer Systems for the Industry of the 21st. Century P Czech Ostrava 1 Compulsory study plan
2023/2024 (B0713A060007) Automotive Electronic Systems P Czech Ostrava 1 Compulsory study plan
2023/2024 (B0714A060012) Applied Electronics K Czech Ostrava 1 Compulsory study plan
2023/2024 (B0714A060012) Applied Electronics P Czech Ostrava 1 Compulsory study plan
2023/2024 (B0714A270002) Mechatronics K Czech Ostrava 1 Compulsory study plan
2023/2024 (B0714A270002) Mechatronics P Czech Ostrava 1 Compulsory study plan
2023/2024 (B0714A060023) Communication and Information Technology P Czech Ostrava 1 Compulsory study plan
2023/2024 (B0714A060023) Communication and Information Technology K Czech Ostrava 1 Compulsory study plan
2023/2024 (B0714A060008) Mobile Technology K Czech Ostrava 1 Compulsory study plan
2023/2024 (B0714A060008) Mobile Technology P Czech Ostrava 1 Compulsory study plan
2023/2024 (B0714A060010) Telecommunication Technology K Czech Ostrava 1 Compulsory study plan
2023/2024 (B0714A060010) Telecommunication Technology P Czech Ostrava 1 Compulsory study plan
2022/2023 (B0533A110023) Applied Physics P Czech Ostrava 1 Compulsory study plan
2022/2023 (B0713A060005) Electrical Power Engineering K Czech Ostrava 1 Compulsory study plan
2022/2023 (B0713A060005) Electrical Power Engineering P Czech Ostrava 1 Compulsory study plan
2022/2023 (B0714A060016) Biomedical Technology K Czech Ostrava 1 Compulsory study plan
2022/2023 (B0714A060016) Biomedical Technology P Czech Ostrava 1 Compulsory study plan
2022/2023 (B0714A060012) Applied Electronics P Czech Ostrava 1 Compulsory study plan
2022/2023 (B0714A060018) Biomedical Assistive Technology P Czech Ostrava 1 Compulsory study plan
2022/2023 (B0714A060018) Biomedical Assistive Technology K Czech Ostrava 1 Compulsory study plan
2022/2023 (B0714A150001) Control and Information Systems K Czech Ostrava 1 Compulsory study plan
2022/2023 (B0714A150001) Control and Information Systems P Czech Ostrava 1 Compulsory study plan
2022/2023 (B0714A150003) Computer Systems for the Industry of the 21st. Century P Czech Ostrava 1 Compulsory study plan
2022/2023 (B0713A060004) Design of Electrical Systems and Technologies K Czech Ostrava 1 Compulsory study plan
2022/2023 (B0713A060004) Design of Electrical Systems and Technologies P Czech Ostrava 1 Compulsory study plan
2022/2023 (B0714A060012) Applied Electronics K Czech Ostrava 1 Compulsory study plan
2022/2023 (B0713A060007) Automotive Electronic Systems P Czech Ostrava 1 Compulsory study plan
2022/2023 (B0714A060023) Communication and Information Technology K Czech Ostrava 1 Compulsory study plan
2022/2023 (B0714A060023) Communication and Information Technology P Czech Ostrava 1 Compulsory study plan
2022/2023 (B0714A060008) Mobile Technology P Czech Ostrava 1 Compulsory study plan
2022/2023 (B0714A060008) Mobile Technology K Czech Ostrava 1 Compulsory study plan
2022/2023 (B0714A060010) Telecommunication Technology P Czech Ostrava 1 Compulsory study plan
2022/2023 (B0714A060010) Telecommunication Technology K Czech Ostrava 1 Compulsory study plan
2022/2023 (B0714A270002) Mechatronics P Czech Ostrava 1 Compulsory study plan
2022/2023 (B0714A270002) Mechatronics K Czech Ostrava 1 Compulsory study plan
2021/2022 (B0714A270002) Mechatronics K Czech Ostrava 1 Compulsory study plan
2021/2022 (B0714A270002) Mechatronics P Czech Ostrava 1 Compulsory study plan
2021/2022 (B0714A060016) Biomedical Technology K Czech Ostrava 1 Compulsory study plan
2021/2022 (B0714A060016) Biomedical Technology P Czech Ostrava 1 Compulsory study plan
2021/2022 (B0714A060018) Biomedical Assistive Technology P Czech Ostrava 1 Compulsory study plan
2021/2022 (B0714A060018) Biomedical Assistive Technology K Czech Ostrava 1 Compulsory study plan
2021/2022 (B0714A150003) Computer Systems for the Industry of the 21st. Century P Czech Ostrava 1 Compulsory study plan
2021/2022 (B0714A150001) Control and Information Systems P Czech Ostrava 1 Compulsory study plan
2021/2022 (B0714A150001) Control and Information Systems K Czech Ostrava 1 Compulsory study plan
2021/2022 (B0533A110023) Applied Physics P Czech Ostrava 1 Compulsory study plan
2021/2022 (B0713A060005) Electrical Power Engineering K Czech Ostrava 1 Compulsory study plan
2021/2022 (B0713A060005) Electrical Power Engineering P Czech Ostrava 1 Compulsory study plan
2021/2022 (B0713A060004) Design of Electrical Systems and Technologies K Czech Ostrava 1 Compulsory study plan
2021/2022 (B0713A060004) Design of Electrical Systems and Technologies P Czech Ostrava 1 Compulsory study plan
2021/2022 (B0714A060012) Applied Electronics K Czech Ostrava 1 Compulsory study plan
2021/2022 (B0714A060012) Applied Electronics P Czech Ostrava 1 Compulsory study plan
2021/2022 (B0713A060007) Automotive Electronic Systems P Czech Ostrava 1 Compulsory study plan
2021/2022 (B0714A060010) Telecommunication Technology P Czech Ostrava 1 Compulsory study plan
2021/2022 (B0714A060010) Telecommunication Technology K Czech Ostrava 1 Compulsory study plan
2021/2022 (B0714A060008) Mobile Technology K Czech Ostrava 1 Compulsory study plan
2021/2022 (B0714A060008) Mobile Technology P Czech Ostrava 1 Compulsory study plan
2021/2022 (B2648) Designing of Electric Devices K Czech Ostrava 1 Compulsory study plan
2021/2022 (B2649) Electrical Engineering (3901R039) Biomedical Technician P Czech Ostrava 1 Compulsory study plan
2021/2022 (B2660) Computer Systems for the Industry of the 21st. Century P Czech Ostrava 1 Compulsory study plan
2021/2022 (B3973) Automotive Electronic Systems P Czech Ostrava 1 Compulsory study plan
2020/2021 (B0713A060005) Electrical Power Engineering K Czech Ostrava 1 Compulsory study plan
2020/2021 (B0713A060005) Electrical Power Engineering P Czech Ostrava 1 Compulsory study plan
2020/2021 (B0714A150001) Control and Information Systems K Czech Ostrava 1 Compulsory study plan
2020/2021 (B0714A150001) Control and Information Systems P Czech Ostrava 1 Compulsory study plan
2020/2021 (B0714A150003) Computer Systems for the Industry of the 21st. Century P Czech Ostrava 1 Compulsory study plan
2020/2021 (B0714A060016) Biomedical Technology K Czech Ostrava 1 Compulsory study plan
2020/2021 (B0714A060016) Biomedical Technology P Czech Ostrava 1 Compulsory study plan
2020/2021 (B0714A060018) Biomedical Assistive Technology K Czech Ostrava 1 Compulsory study plan
2020/2021 (B0714A060018) Biomedical Assistive Technology P Czech Ostrava 1 Compulsory study plan
2020/2021 (B0713A060004) Design of Electrical Systems and Technologies K Czech Ostrava 1 Compulsory study plan
2020/2021 (B0713A060004) Design of Electrical Systems and Technologies P Czech Ostrava 1 Compulsory study plan
2020/2021 (B0533A110023) Applied Physics P Czech Ostrava 1 Compulsory study plan
2020/2021 (B0714A060012) Applied Electronics K Czech Ostrava 1 Compulsory study plan
2020/2021 (B0714A060012) Applied Electronics P Czech Ostrava 1 Compulsory study plan
2020/2021 (B2660) Computer Systems for the Industry of the 21st. Century P Czech Ostrava 1 Compulsory study plan
2020/2021 (B2648) Designing of Electric Devices P Czech Ostrava 1 Compulsory study plan
2020/2021 (B2649) Electrical Engineering (3901R039) Biomedical Technician P Czech Ostrava 1 Compulsory study plan
2020/2021 (B2648) Designing of Electric Devices K Czech Ostrava 1 Compulsory study plan
2020/2021 (B3973) Automotive Electronic Systems P Czech Ostrava 1 Compulsory study plan
2020/2021 (B0714A060008) Mobile Technology P Czech Ostrava 1 Compulsory study plan
2020/2021 (B0714A060008) Mobile Technology K Czech Ostrava 1 Compulsory study plan
2020/2021 (B0714A060010) Telecommunication Technology P Czech Ostrava 1 Compulsory study plan
2020/2021 (B0714A060010) Telecommunication Technology K Czech Ostrava 1 Compulsory study plan
2020/2021 (B0714A270002) Mechatronics K Czech Ostrava 1 Compulsory study plan
2020/2021 (B0714A270002) Mechatronics P Czech Ostrava 1 Compulsory study plan
2020/2021 (B0713A060007) Automotive Electronic Systems P Czech Ostrava 1 Compulsory study plan
2019/2020 (B2660) Computer Systems for the Industry of the 21st. Century P Czech Ostrava 1 Compulsory study plan
2019/2020 (B2648) Designing of Electric Devices P Czech Ostrava 1 Compulsory study plan
2019/2020 (B2649) Electrical Engineering (3901R039) Biomedical Technician P Czech Ostrava 1 Compulsory study plan
2019/2020 (B2649) Electrical Engineering P Czech Ostrava 1 Compulsory study plan
2019/2020 (B2648) Designing of Electric Devices K Czech Ostrava 1 Compulsory study plan
2019/2020 (B2649) Electrical Engineering K Czech Ostrava 1 Compulsory study plan
2019/2020 (B0714A150001) Control and Information Systems P Czech Ostrava 1 Compulsory study plan
2019/2020 (B0714A060010) Telecommunication Technology P Czech Ostrava 1 Compulsory study plan
2019/2020 (B0714A150003) Computer Systems for the Industry of the 21st. Century P Czech Ostrava 1 Compulsory study plan
2019/2020 (B0533A110023) Applied Physics P Czech Ostrava 1 Compulsory study plan
2019/2020 (B0714A150001) Control and Information Systems K Czech Ostrava 1 Compulsory study plan
2019/2020 (B3973) Automotive Electronic Systems P Czech Ostrava 1 Compulsory study plan
2019/2020 (B0714A060008) Mobile Technology P Czech Ostrava 1 Compulsory study plan
2019/2020 (B3943) Mechatronics (3906R006) Mechatronics Systems P Czech Ostrava 1 Compulsory study plan
2019/2020 (B3943) Mechatronics (3906R006) Mechatronics Systems K Czech Ostrava 1 Compulsory study plan
2019/2020 (B0713A060004) Design of Electrical Systems and Technologies P Czech Ostrava 1 Compulsory study plan
2019/2020 (B0713A060004) Design of Electrical Systems and Technologies K Czech Ostrava 1 Compulsory study plan
2019/2020 (B0714A060010) Telecommunication Technology K Czech Ostrava 1 Compulsory study plan
2019/2020 (B0714A060008) Mobile Technology K Czech Ostrava 1 Compulsory study plan
2019/2020 (B0713A060005) Electrical Power Engineering P Czech Ostrava 1 Compulsory study plan
2019/2020 (B0714A060012) Applied Electronics P Czech Ostrava 1 Compulsory study plan
2019/2020 (B0714A060016) Biomedical Technology P Czech Ostrava 1 Compulsory study plan
2019/2020 (B0713A060005) Electrical Power Engineering K Czech Ostrava 1 Compulsory study plan
2019/2020 (B0714A060016) Biomedical Technology K Czech Ostrava 1 Compulsory study plan
2019/2020 (B0714A060012) Applied Electronics K Czech Ostrava 1 Compulsory study plan
2019/2020 (B0714A270002) Mechatronics P Czech Ostrava 1 Compulsory study plan
2019/2020 (B0714A270002) Mechatronics K Czech Ostrava 1 Compulsory study plan
2018/2019 (B2660) Computer Systems for the Industry of the 21st. Century P Czech Ostrava 1 Compulsory study plan
2018/2019 (B3973) Automotive Electronic Systems P Czech Ostrava 1 Compulsory study plan
2018/2019 (B2648) Designing of Electric Devices P Czech Ostrava 1 Compulsory study plan
2018/2019 (B2649) Electrical Engineering (3901R039) Biomedical Technician P Czech Ostrava 1 Compulsory study plan
2018/2019 (B2649) Electrical Engineering P Czech Ostrava 1 Compulsory study plan
2018/2019 (B2648) Designing of Electric Devices K Czech Ostrava 1 Compulsory study plan
2018/2019 (B2649) Electrical Engineering K Czech Ostrava 1 Compulsory study plan
2018/2019 (B3943) Mechatronics P Czech Ostrava 1 Compulsory study plan
2018/2019 (B3943) Mechatronics K Czech Ostrava 1 Compulsory study plan
2018/2019 (B1701) Physics (1702R001) Applied Physics P Czech Ostrava 1 Compulsory study plan
2017/2018 (B2648) Designing of Electric Devices P Czech Ostrava 1 Compulsory study plan
2017/2018 (B2648) Designing of Electric Devices K Czech Ostrava 1 Compulsory study plan
2017/2018 (B2649) Electrical Engineering (3901R039) Biomedical Technician P Czech Ostrava 1 Compulsory study plan
2017/2018 (B2649) Electrical Engineering P Czech Ostrava 1 Compulsory study plan
2017/2018 (B2649) Electrical Engineering K Czech Ostrava 1 Compulsory study plan
2017/2018 (B2660) Computer Systems for the Industry of the 21st. Century P Czech Ostrava 1 Compulsory study plan
2017/2018 (B3973) Automotive Electronic Systems P Czech Ostrava 1 Compulsory study plan
2017/2018 (B3943) Mechatronics P Czech Ostrava 1 Compulsory study plan
2017/2018 (B3943) Mechatronics K Czech Ostrava 1 Compulsory study plan
2016/2017 (B3943) Mechatronics P Czech Ostrava 1 Compulsory study plan
2016/2017 (B3943) Mechatronics K Czech Ostrava 1 Compulsory study plan
2016/2017 (B2648) Designing of Electric Devices P Czech Ostrava 1 Compulsory study plan
2016/2017 (B2648) Designing of Electric Devices K Czech Ostrava 1 Compulsory study plan
2016/2017 (B2649) Electrical Engineering (3901R039) Biomedical Technician P Czech Ostrava 1 Compulsory study plan
2016/2017 (B2649) Electrical Engineering P Czech Ostrava 1 Compulsory study plan
2016/2017 (B2649) Electrical Engineering K Czech Ostrava 1 Compulsory study plan
2016/2017 (B2660) Computer Systems for the Industry of the 21st. Century P Czech Ostrava 1 Compulsory study plan
2015/2016 (B2648) Designing of Electric Devices K Czech Ostrava 1 Compulsory study plan
2015/2016 (B2648) Designing of Electric Devices P Czech Ostrava 1 Compulsory study plan
2015/2016 (B2649) Electrical Engineering (3901R039) Biomedical Technician P Czech Ostrava 1 Compulsory study plan
2015/2016 (B2649) Electrical Engineering P Czech Ostrava 1 Compulsory study plan
2015/2016 (B2649) Electrical Engineering K Czech Ostrava 1 Compulsory study plan
2015/2016 (B3943) Mechatronics P Czech Ostrava 1 Compulsory study plan
2015/2016 (B3943) Mechatronics K Czech Ostrava 1 Compulsory study plan
2014/2015 (B2648) Designing of Electric Devices K Czech Ostrava 1 Compulsory study plan
2014/2015 (B2648) Designing of Electric Devices P Czech Ostrava 1 Compulsory study plan
2014/2015 (B2649) Electrical Engineering (3901R039) Biomedical Technician P Czech Ostrava 1 Compulsory study plan
2014/2015 (B2649) Electrical Engineering P Czech Ostrava 1 Compulsory study plan
2014/2015 (B2649) Electrical Engineering K Czech Ostrava 1 Compulsory study plan
2014/2015 (B3943) Mechatronics P Czech Ostrava 1 Compulsory study plan
2014/2015 (B3943) Mechatronics K Czech Ostrava 1 Compulsory study plan
2013/2014 (B2648) Designing of Electric Devices K Czech Ostrava 1 Compulsory study plan
2013/2014 (B2648) Designing of Electric Devices P Czech Ostrava 1 Compulsory study plan
2013/2014 (B2649) Electrical Engineering (3901R039) Biomedical Technician P Czech Ostrava 1 Compulsory study plan
2013/2014 (B2649) Electrical Engineering P Czech Ostrava 1 Compulsory study plan
2013/2014 (B2649) Electrical Engineering K Czech Ostrava 1 Compulsory study plan
2013/2014 (B3943) Mechatronics P Czech Ostrava 1 Compulsory study plan
2013/2014 (B3943) Mechatronics K Czech Ostrava 1 Compulsory study plan
2012/2013 (B2648) Designing of Electric Devices K Czech Ostrava 1 Compulsory study plan
2012/2013 (B2648) Designing of Electric Devices P Czech Ostrava 1 Compulsory study plan
2012/2013 (B2649) Electrical Engineering (3901R039) Biomedical Technician P Czech Ostrava 1 Compulsory study plan
2012/2013 (B2649) Electrical Engineering P Czech Ostrava 1 Compulsory study plan
2012/2013 (B2649) Electrical Engineering K Czech Ostrava 1 Compulsory study plan
2012/2013 (B3943) Mechatronics P Czech Ostrava 1 Compulsory study plan
2012/2013 (B3943) Mechatronics K Czech Ostrava 1 Compulsory study plan
2011/2012 (B2649) Electrical Engineering (3901R039) Biomedical Technician P Czech Ostrava 1 Compulsory study plan
2011/2012 (B2649) Electrical Engineering P Czech Ostrava 1 Compulsory study plan
2011/2012 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering P Czech Ostrava 1 Compulsory study plan
2011/2012 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering P Czech Ostrava 1 Compulsory study plan
2011/2012 (B2649) Electrical Engineering (2602R014) Applied and Commercial Electronics P Czech Ostrava 1 Compulsory study plan
2011/2012 (B2649) Electrical Engineering K Czech Ostrava 1 Compulsory study plan
2011/2012 (B3943) Mechatronics P Czech Ostrava 1 Compulsory study plan
2011/2012 (B3943) Mechatronics K Czech Ostrava 1 Compulsory study plan
2011/2012 (B2648) Designing of Electric Devices K Czech Ostrava 1 Compulsory study plan
2011/2012 (B2648) Designing of Electric Devices P Czech Ostrava 1 Compulsory study plan
2010/2011 (B2649) Electrical Engineering (3901R039) Biomedical Technician P Czech Ostrava 1 Compulsory study plan
2010/2011 (B2649) Electrical Engineering P Czech Ostrava 1 Compulsory study plan
2010/2011 (B2648) Designing of Electric Devices P Czech Ostrava 1 Compulsory study plan
2010/2011 (B2649) Electrical Engineering K Czech Ostrava 1 Compulsory study plan
2010/2011 (B2648) Designing of Electric Devices K Czech Ostrava 1 Compulsory study plan
2010/2011 (B3943) Mechatronics K Czech Ostrava 1 Compulsory study plan
2010/2011 (B3943) Mechatronics P Czech Ostrava 1 Compulsory study plan
2010/2011 (B3943) Mechatronics (3906R007) Automotive Electronics P Czech Ostrava 1 Compulsory study plan

Occurrence in special blocks

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Assessment of instruction



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